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Finding the Fourth Proportional to 4,838.40, 7,252 and 2,372.48

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Solution

The fourth proportional to 4,838.40, 7,252 and 2,372.48 is: 3,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.40 : 7,252 = 2,372.48 : x
  2. Step 2: Convert to fraction form
    4,838.40/7,252 = 2,372.48/x
  3. Step 3: Cross multiply
    4,838.40x = 7,252 × 2,372.48
  4. Step 4: Simplify right side
    4,838.40x = 17,205,224.96
  5. Step 5: Solve for x
    x = 17,205,224.96/4,838.40
  6. Step 6: Final answer
    x = 3,555.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.